Systems of Linear Inequalities Example 1: Feasible Region

This example demonstrates how to construct and display the feasible region satisfying a system of linear inequalities in the Cartesian plane, visually showing the geometric meaning of the solution set. Core mathematical concepts include linear inequalities, intersection of inequality sets, boundary lines, and region partitioning. Construction highlights: based on the summary, objects a, b, A, B, C, D are used, where a and b likely represent two boundary lines (or lines corresponding to inequalities), and A, B, C, D are key points or vertices of the region. GeoGebra commands involve creating lines and points, then using inequality commands to shade the feasible area. Suitable for high school students studying coordinate geometry, introductory linear programming, or inequality applications, and for teachers to demonstrate how the solution set of a system of inequalities appears graphically.